Format:
Online-Ressource (XI, 257 p, online resource)
Edition:
1st ed. 2015
ISBN:
9781447167754
Series Statement:
Springer Monographs in Mathematics
Content:
Introduction -- Order Fundamentals -- Classification and Invariants -- Commutative Algebras: Constructions and Classifications -- Convexity and Representations -- Generic Dynamics -- Constructing Monotone Complete C∗-algebras -- Envelopes, Completions and AW∗-algebras
Content:
This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions. Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false. Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras
Note:
Description based upon print version of record
,
IntroductionOrder Fundamentals -- Classification and Invariants -- Commutative Algebras: Constructions and Classifications -- Convexity and Representations -- Generic Dynamics -- Constructing Monotone Complete C∗-algebras -- Envelopes, Completions and AW∗-algebras.
Additional Edition:
ISBN 9781447167730
Additional Edition:
Erscheint auch als Druck-Ausgabe Saitô, Kazuyuki Monotone complete C*-algebras and generic dynamics London : Springer, 2015 ISBN 9781447167730
Language:
English
Subjects:
Mathematics
Keywords:
C-Stern-Algebra
DOI:
10.1007/978-1-4471-6775-4
URL:
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